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Finding the Fourth Proportional to 11,539.51, 15,924.53 and 6,234.32

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Solution

The fourth proportional to 11,539.51, 15,924.53 and 6,234.32 is: 8,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.51 : 15,924.53 = 6,234.32 : x
  2. Step 2: Convert to fraction form
    11,539.51/15,924.53 = 6,234.32/x
  3. Step 3: Cross multiply
    11,539.51x = 15,924.53 × 6,234.32
  4. Step 4: Simplify right side
    11,539.51x = 99,278,615.87
  5. Step 5: Solve for x
    x = 99,278,615.87/11,539.51
  6. Step 6: Final answer
    x = 8,603.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.